Least Common Multiple of 6054 and 6058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6054 and 6058 the smallest integer that is 18337566 that is divisible by both numbers.

Least Common Multiple (LCM) of 6054 and 6058 is 18337566.

LCM(6054,6058) = 18337566

LCM of 6054 and 6058

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6054 and 6058

LCM of 6054 and 6058 is 18337566

Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6058. First we will calculate the prime factors of 6054 and 6058.

Prime Factorization of 6054


2 6054
3 3027
1009 1009
1

Prime factors of 6054 are 2, 3,1009. Prime factorization of 6054 in exponential form is:

6054 = 21×31×10091

Prime Factorization of 6058


2 6058
13 3029
233 233
1

Prime factors of 6058 are 2, 13,233. Prime factorization of 6058 in exponential form is:

6058 = 21×131×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6058.

LCM(6054,6058) = 21×31×131×2331×10091
LCM(6054,6058) = 18337566

Factors of 6054

List of positive integer factors of 6054 that divides 6054 without a remainder.

1, 2, 3, 6, 1009, 2018, 3027, 6054

Factors of 6058

List of positive integer factors of 6058 that divides 6058 without a remainder.

1, 2, 13, 26, 233, 466, 3029, 6058

Least Common Multiple of 6054 and 6058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6054 and 6058, than apply into the LCM equation.

GCF(6054,6058) = 2
LCM(6054,6058) = ( 6054 × 6058) / 2
LCM(6054,6058) = 36675132 / 2
LCM(6054,6058) = 18337566

Properties of LCM 6054 and 6058

(i) The LCM of 6058 and 6054 is associative

LCM of 6054 and 6058 = LCM of 6058 and 6054

Related Least Common Multiples of 6054

Related Least Common Multiples of 6058

Frequently Asked Questions on LCM of 6054 and 6058

1. What is the LCM of 6054 and 6058?

Answer: LCM of 6054 and 6058 is 18337566.

2. What are the Factors of 6054?

Answer: Factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054. There are 8 integers that are factors of 6054. The greatest factor of 6054 is 6054.

3. What are the Factors of 6058?

Answer: Factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058. There are 8 integers that are factors of 6058. The greatest factor of 6058 is 6058.

4. How to Find the LCM of 6054 and 6058?

Answer:

Least Common Multiple of 6054 and 6058 = 18337566

Step 1: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

Step 2: Find the prime factorization of 6058

6058 = 2 x 13 x 233

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18337566 = 2 x 3 x 13 x 233 x 1009

Step 4: Therefore, the least common multiple of 6054 and 6058 is 18337566.